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Canal states in bilayer thin films of zero-range potentials

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Abstract

Canal (discrete, 2D-localized) states embedded in continuum are studied for a particle interacting with thin 3D layer of 2D-periodic zero-range potentials. General analysis is presented for a “molecular monolayer” obtained by 2D periodic mapping of N different zero-range scatterers. Numerical calculations of canal states are performed for the case of an atomic bilayer on a square lattice. For particle scattering on this system we demonstrate the manifestations of canal states in impact-energy and impact-angles dependence of total reflection/transmission probabilities. Special cases when energy eigenvalues of the canal states tend to scattering thresholds are also analyzed.

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This manuscript has no associated data or the data will not be deposited. [Authors’ comment: This is a theoretical study and there are no experimental data.]

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Acknowledgements

This work was supported by Serbia-JINR collaboration program.

Funding

Funding was providided by Ministry of science, technological development and innovations, Republic of Serbia.

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Authors and Affiliations

  1. Institute of Physics, University of Belgrade, Pregrevica 118, Belgrade, 11080, Serbia

    Tasko P. Grozdanov

  2. Bogoliubov Laboratory for Theoretical Physics, Joint Institute for Nuclear Research, Dubna, Moscow Region, Russia, 141980

    Evgeni A. Solov’ev

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  1. Tasko P. Grozdanov
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  2. Evgeni A. Solov’ev
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Both authors contributed equally to this work.

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Correspondence to Tasko P. Grozdanov.

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Grozdanov, T.P., Solov’ev, E.A. Canal states in bilayer thin films of zero-range potentials. Eur. Phys. J. Plus 139, 425 (2024). https://doi.org/10.1140/epjp/s13360-024-05244-6

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  • DOI: https://doi.org/10.1140/epjp/s13360-024-05244-6

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